Validity of covariance models for the analysis of geographical variation

Gilles Guillot, Rene L. Schilling, Emilio Porcu, Moreno Bevilacqua

Research output: Contribution to journalJournal articleResearchpeer-review

Abstract

1. Due to the availability of large molecular data-sets, covariance models are increasingly used to describe the structure of genetic variation as an alternative to more heavily parametrised biological models.

2. We focus here on a class of parametric covariance models that received sustained attention lately and show that the conditions under which they are valid mathematical models have been overlooked so far.

3. We provide rigorous results for the construction of valid covariance models in this family.

4. We also outline how to construct alternative covariance models for the analysis of geographical variation that are both mathematically well behaved and easily implementable.
Original languageEnglish
JournalMethods in Ecology and Evolution
Volume5
Pages (from-to)329–335
ISSN2041-210X
DOIs
Publication statusPublished - 2014

Keywords

  • Isolation by distance
  • Isolation by ecology
  • Landscape genetics
  • Geostatistics
  • Positive-definite function

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